Answer:
The value of x is 4
Step-by-step explanation:
y = 2.5x + 65; y = 75
Now, Substitute
y = 2.5x + 65
75 = 2.5x + 65
75 – 65= 2.5x + 65 – 65
10 = 2.5x
2.5x = 10
2.5x/2.5 = 10/2.5
x = 4
Thus, The value of x is 4
<u>-TheUnknownScientist</u><u> 72</u>
20-6=14
14+8=22
22*4=88
88+12=100
Hope this helps :)
Answer:
No extraneous solution
Step-by-step explanation:
We have the logarithmic equation given by,
![\log_{2}[\log_{2}(\sqrt{4x})]=1](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%5B%5Clog_%7B2%7D%28%5Csqrt%7B4x%7D%29%5D%3D1)
i.e. ![\log_{2}(\sqrt{4x})=2^{1}](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%28%5Csqrt%7B4x%7D%29%3D2%5E%7B1%7D)
i.e. ![\sqrt{4x}=2^{2}](https://tex.z-dn.net/?f=%5Csqrt%7B4x%7D%3D2%5E%7B2%7D)
i.e. ![\sqrt{4x}=4](https://tex.z-dn.net/?f=%5Csqrt%7B4x%7D%3D4)
i.e. ![4x=4^{2}](https://tex.z-dn.net/?f=4x%3D4%5E%7B2%7D)
i.e. ![4x=16](https://tex.z-dn.net/?f=4x%3D16)
i.e. ![x=4](https://tex.z-dn.net/?f=x%3D4)
So, the solution of the given equation is x=4.
Now, as we domain of square root function is x > 0 and also, the domain of logarithmic function is
.
Therefore, the domain of the given function is x > 0.
We know that the extraneous solution is the solution which does not belong to the domain.
But as x=4 belongs to the domain x > 0.
Thus, x = 4 is not an extraneous solution.
Hence, this equation does not have any extraneous solution.
Answer:
B
Step-by-step explanation:
B: it is only a single equation